A Counterexample in the Dimension Theory of Homogeneous Spaces of Locally Compact Groups

被引：0

作者：

Michael, George A. A. ^{[1
]}

机构：

[1] Dhofar Univ, Math & Sci Unit, Salalah, Oman

来源：

JOURNAL OF LIE THEORY | 2008年 / 18卷 / 04期

关键词：

Homogeneous spaces of locally compact groups; Tychonoff cube; dimension;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a locally compact group G and a closed subgroup H such that such that the quotient space G/H is connected and has weight w(G/H) = 2(aleph 0) but fails to contain a cube I-w(G/H) of the same weight. This proves as incorrect an assertion made in Theorem 4.2 of K. H. Hofmann and S. A. Morris: Transitive actions of compact groups and topological dimension, J. of Algebra 234 (2000), 454-479.

引用

页码：915 / 917

页数：3